The following properties will let you answer each of the above questions
If you have an equation in which the variables drop out, and you
end up with a true statement, there will be an INFINITE number of solutions.
(one equation is simple a variation of the other)
If you have an equation in which the variables drop out, and you
end up with a false statement, there will be NO solution.
( there will be parallel lines)
If you have a linear equation in which the variable does not drop out, there will be ONE solution.
(the two lines will intersect at one point)
How many solutions does the equation
4x + 3 - 1 = 2(2x + 2) - 2x have?
one
none
infinite
For which value of c will the equation 2x - 5 = 2x - c have an infinite number of solutions?
3
4
5
6
For which value of c will the equation 3x + c = 3x + 2 have no solutions? Select all that apply.
2
3
4
5
Determine whether the statement is true or false.
3t + 7 = 3t + 6 has no solution.
True
False
Determine whether the statement is true or false.
5x - 6 = 3x - 6 + 2x has one solution.
True
False
Determine whether the statement is true or false.
When an equation has one solution, the variable terms (coefficients) are the same on both sides of the equal sign.
True
False
1 answer